Prime p₀= 2777579668363015079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2777578396208720303	0 20 24 108 128 156 206 210 344 348 398 426 446 530 534 554	-1272154294776
STPT(10)	2777578739624745611	0 2 36 38 78 80 120 122 156 158	-928738269468
STPT(10)	2777578839723371501	0 2 96 98 138 140 180 182 276 278	-828639643578
TPT(14)	2777579181416517461	0 2 60 62 198 200 240 242 258 260 300 302 306 308	-486946497618
SPT(18)	2777579233191139789	0 24 58 84 114 144 168 192 198 214 220 244 268 298 328 354 388 412	-435171875290
SPT(16)	2777579326036610423	0 6 26 44 54 56 60 98 186 224 228 230 240 258 278 284	-342326404656
STPT(10)	2777579847791668889	0 2 48 50 90 92 132 134 180 182	179428653810
STPT(10)	2777579964827086217	0 2 30 32 42 44 54 56 84 86	296464071138
SPT(16)	2777579980658280671	0 2 38 42 56 60 66 186 212 332 338 342 356 360 396 398	312295265592
SPT(16)	2777580344183974361	0 8 26 42 50 62 110 138 170 198 246 258 266 282 300 308	675820959282
STPT(10)	2777580887360039807	0 2 54 56 72 74 90 92 144 146	1218997024728